<PRE><B>Question 1168590</B>
The hypotenuse of a right angle triangle is 15 cm. One of the legs is 2 and half times the length of the other
leg. What is the length of the longer leg?
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x = length of shortest leg
5x/2 = longer leg
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x^2 + (5x/2)^2 = 15^2
x^2 + 25x^2/4 = 225
4x^2 + 25x^2 = 900
29x^2 = 900
x^2 = 900/29
{{{x = 30/sqrt(29)}}}
Length of longer leg = {{{75/sqrt(29)}}}

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